EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Real Numbers
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Find the LCM of
{180,320,60,220}
(i)
31682
(ii)
31681
(iii)
31679
(iv)
31680
(v)
31678
Question
2
2.
Express
7
5
as a decimal correct to 1 decimal places
(i)
1.5
(ii)
1.6
(iii)
1.4
(iv)
1.2
(v)
1.3
Question
3
3.
Simplify the expression
(
7
6
)
(-2)
✕
(
7
6
)
(-2)
✕
(
7
6
)
(-2)
(i)
(
13
4
)
(-2)
(ii)
(
7
2
)
(-2)
(iii)
(
7
2
)
(-4)
(iv)
(-2)
4
(v)
(
9
2
)
(-2)
Question
4
4.
If
(
x
4
+
y
4
)
=
23
x
2
y
2
, then
log
(
x
2
+
y
2
)
=
(i)
log
x
+
log
y
+
log
5
(ii)
log
x
−
log
y
−
log
5
(iii)
log
x
+
log
y
−
log
5
(iv)
log
x
−
log
y
+
log
5
Question
5
5.
Find the HCF of
{10,8}
(i)
0
(ii)
2
(iii)
4
(iv)
3
(v)
1
Question
6
6.
Find the HCF of
{35,30,21,8}
(i)
1
(ii)
(-2)
(iii)
0
(iv)
2
(v)
4
Question
7
7.
Simplify the expression
(
-8
9
)
2
✕
(
-2
3
)
2
(i)
2
-2
(ii)
(
-14
9
)
2
(iii)
(
-14
11
)
2
(iv)
(
-16
9
)
2
(v)
(
-14
9
)
4
Question
8
8.
log
15
2
+
log
15
2
=
(i)
log
17
4
(ii)
log
15
4
(iii)
log
12
4
(iv)
log
15
3
(v)
log
15
5
Question
9
9.
If
log
4
x
=
a
and
log
4
y
=
b
, then
4
(
a
−
b
)
=
(i)
a
b
(ii)
y
x
(iii)
a
y
(iv)
x
y
(v)
x
b
Question
10
10.
7.2 =
(i)
72
(ii)
18
25
(iii)
9
125
(iv)
720
(v)
36
5
Question
11
11.
log
40.0000
+
log
2.0000
=
(i)
log
80.0000
(ii)
log
78.0000
(iii)
log
79.0000
(iv)
log
81.0000
(v)
log
82.0000
Question
12
12.
Find the HCF of
{78,102}
(i)
7
(ii)
4
(iii)
6
(iv)
9
(v)
5
Question
13
13.
Which of the following are true?
a)
15
4
÷
(
20
9
+
15
14
)
=
(
15
4
÷
20
9
)
+
(
15
4
÷
15
14
)
b)
15
4
−
(
59
6
✕
11
15
)
=
(
15
4
−
59
6
)
✕
(
15
4
−
11
15
)
c)
20
9
✕
(
20
9
+
15
19
)
=
(
20
9
✕
20
9
)
+
(
20
9
✕
15
19
)
d)
20
9
✕
(
59
6
−
1
11
)
=
(
20
9
✕
59
6
)
−
(
20
9
✕
1
11
)
(i)
{b,d}
(ii)
{a,d,c}
(iii)
{a,b,c}
(iv)
{c,d}
(v)
{a,c}
Question
14
14.
log
5
2
74
6
=
(i)
3
log
5
74
(ii)
3
log
5
77
(iii)
3
log
2
71
(iv)
6
log
5
74
(v)
3
log
5
73
Question
15
15.
Simplify the expression
8
5
✕
8
2
✕
(
4
3
)
8
(i)
(
25
3
)
8
(ii)
8
9
(iii)
(
25
3
)
11
(iv)
(
25
3
)
6
(v)
(
41
5
)
8
Question
16
16.
Which of the following is a rational number?
(i)
3
√
98
(ii)
√
13
(iii)
√
90
(iv)
3
√
18
(v)
2
6
Question
17
17.
Which of the following is a decimal fraction?
(i)
8
6
7
(ii)
16
3
(iii)
9
18
(iv)
9
6
11
(v)
8
10
Question
18
18.
The logarithmic notation of
7
3
=
343
is
(i)
log
4
340
=
3
(ii)
log
7
345
=
3
(iii)
log
7
343
=
3
(iv)
log
7
343
2
=
3
(v)
log
7
342
=
3
Question
19
19.
log
61
−
log
60
=
(i)
log
2
(
61
60
)
(ii)
log
61
58
(iii)
log
59
60
(iv)
log
61
60
(v)
log
21
20
Question
20
20.
The base of
log
5
8
17
is
(i)
5
6
(ii)
3
8
(iii)
7
8
(iv)
5
8
(v)
17
Question
21
21.
log
27
81
=
(i)
1.3333
(ii)
0.3333
(iii)
9.3333
(iv)
2.3333
(v)
3.3333
Question
22
22.
Simplify the expression
(
4
3
)
5
✕
(
4
3
)
5
✕
(
4
3
)
5
(i)
3
4
(ii)
7
4
(iii)
5
5
(iv)
5
4
(v)
5
3
Question
23
23.
log
7
86
=
(i)
log
86
÷
log
7
(ii)
log
86
−
log
7
(iii)
log
86
✕
log
7
(iv)
log
7
÷
log
86
(v)
log
86
+
log
7
Question
24
24.
Which of the following fractions converts to a non-terminating recurring decimal?
(i)
3840
80
(ii)
49
1
(iii)
96
1
(iv)
3040
8
(v)
233
18
Question
25
25.
Solve
log
x
log
8
=
log
16
log
1
4
(i)
1
62
(ii)
1
66
(iii)
1
64
(iv)
3
64
(v)
(
-1
64
)
Assignment Key
1) (iv)
2) (iii)
3) (ii)
4) (i)
5) (ii)
6) (i)
7) (ii)
8) (ii)
9) (iv)
10) (v)
11) (i)
12) (iii)
13) (iv)
14) (i)
15) (i)
16) (v)
17) (v)
18) (iii)
19) (iv)
20) (iv)
21) (i)
22) (iv)
23) (i)
24) (v)
25) (iii)
